In algebra 2, we will learn about vector spaces and their importance in understanding the concept of dimensions, basis vectors, and coordinates. In addition, we will seriously address linear transformations and their relationship to transformations of coordinates and base vectors. All of this is covered in Chapter 1. In Chapter 2, we shall proceed to a more important topic for engineers: matrices and their role in dealing with multiple numerical or functional quantities. The relationship between matrices and linear applications has been addressed to provide a more comprehensive understanding of the mathematical concept of the matrix. To further understand matrices, we will perform some operations on matrices and learn about their properties, such as  determinants, transposes, and inverses. In algebra 2, the importance of matrices lies in solving a Systems of Linear Algebraic Equations, and this is covered in Chapter 3.